Well-posedness and blowup phenomena for a class of nonlinear third-order partial differential equations

• Autores: Zhaoyang Yin
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 31, Nº 3, 2005, págs. 961-972
• Idioma: inglés
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• Resumen

  • We establish the local well-posedness for a class of nonlinear third-order partial differential equations. We also present a blow up scenario and prove that the equation has strong solutions that blow up in finite time.